- #1

putongren

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Hello All,

I am trying to understand the solution of a problem that uses calculus and the conservation of momentum principle.The problem is here: http://www.physics.harvard.edu/academics/undergrad/probweek/prob79.pdf and the answer is here: http://www.physics.harvard.edu/academics/undergrad/probweek/sol79.pdf

I have several questions concerning the solution, and I will ask one question at a time. My understanding of integration is weak. In the solution, we arrive at:

[tex]\int_{M}^{m} \frac{dm}{m} = \int_{0}^{v} \frac{dv}{u-v}[/tex]. Why is it that we integrate between m and M and v and 0? What does integrating those terms physically mean? I think there is something missing in my understanding.

I am trying to understand the solution of a problem that uses calculus and the conservation of momentum principle.The problem is here: http://www.physics.harvard.edu/academics/undergrad/probweek/prob79.pdf and the answer is here: http://www.physics.harvard.edu/academics/undergrad/probweek/sol79.pdf

I have several questions concerning the solution, and I will ask one question at a time. My understanding of integration is weak. In the solution, we arrive at:

[tex]\int_{M}^{m} \frac{dm}{m} = \int_{0}^{v} \frac{dv}{u-v}[/tex]. Why is it that we integrate between m and M and v and 0? What does integrating those terms physically mean? I think there is something missing in my understanding.

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